Greatest Common Factor of 10428 and 10434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 10428, 10434 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10428 and 10434 is 6.

GCF(10428,10434) = 6

GCF of 10428 and 10434

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 10428 and 10434

GCF of 10428 and 10434 is 6

Prime Factorization of 10428


2 10428
2 5214
3 2607
11 869
79 79
1

Prime factors of 10428 are 2,3,11,79. Prime factorization of 10428 in exponential form is:

10428 = 22×31×111×791

Prime Factorization of 10434


2 10434
3 5217
37 1739
47 47
1

Prime factors of 10434 are 2,3,37,47. Prime factorization of 10434 in exponential form is:

10434 = 21×31×371×471

∴ So by taking common prime factors GCF of 10428 and 10434 is 6

Greatest Common Factor of 10428 and 10434 by matching factors method

Factors of 10428

List of positive integer factors of 10428 that divides 10428 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,79,132,158,237,316,474,869,948,1738,2607,3476,5214,10428

Factors of 10434

List of positive integer factors of 10434 that divides 10434 without a remainder.

1,2,3,6,37,47,74,94,111,141,222,282,1739,3478,5217,10434

Greatest Common Factor

We found the factors and prime factorization of 10428 and 10434. The biggest common factor number is the GCF number.
So the greatest common factor 10428 and 10434 is 6.

Also check out the Least Common Multiple of 10428 and 10434

Properties of GCF 10428 and 10434

(i) The GCF of 10428 and 10434 is associative

GCF of 10428 and 10434 = GCF of 10434 and 10428

Related Greatest Common Factor of 10428

Related Greatest Common Factor of 10434

Frequently Asked Questions on GCF of 10428 and 10434

1. What is the GCF of 10428 and 10434?

Answer: GCF of 10428 and 10434 is 6.

2. What are the Factors of 10428?

Answer: Factors of 10428 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316, 474, 869, 948, 1738, 2607, 3476, 5214, 10428. There are 24 integers that are factors of 10428. The greatest factor of 10428 is 10428.

3. What are the Factors of 10434?

Answer: Factors of 10434 are 1, 2, 3, 6, 37, 47, 74, 94, 111, 141, 222, 282, 1739, 3478, 5217, 10434. There are 16 integers that are factors of 10434. The greatest factor of 10434 is 10434.

4. How to Find the GCF of 10428 and 10434?

Answer:

Greatest Common Factor of 10428 and 10434 = 6

Step 1: Find the prime factorization of 10428

10428 = 2 x 2 x 3 x 11 x 79

Step 2: Find the prime factorization of 10434

10434 = 2 x 3 x 37 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 10428 and 10434 is 6